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Finding the Third Proportional to 208,017 and 425,889

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Solution

The third proportional to 208,017 and 425,889 is: 871,954.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,017 : 425,889 = 425,889 : x
  2. Step 2: Convert to fraction form
    208,017/425,889 = 425,889/x
  3. Step 3: Cross multiply
    208,017x = 425,889 × 425,889
  4. Step 4: Simplify right side
    208,017x = 181,381,440,321
  5. Step 5: Solve for x
    x = 181,381,440,321/208,017
  6. Step 6: Final answer
    x = 871,954.89

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.